from collections import Counter N=int(input()) x=N*3 # x以下の素数の列挙,素因数分解,約数の列挙 import math L=math.floor(math.sqrt(x)) # 平方根を求める Primelist=[i for i in range(x+1)] Primelist[1]=0 # 1は素数でないので0にする. for i in Primelist: if i>L: break if i==0: continue for j in range(2*i,x+1,i): Primelist[j]=0 Primes=[Primelist[j] for j in range(x+1) if Primelist[j]!=0] PP=[] MP=[] for i in range(len(Primes)): if Primes[i]>N: break for j in range(i+1,len(Primes)): MP.append(Primes[j]-Primes[i]) C=Counter(MP) ANS=0 for j in range(len(Primes)): if Primes[j]>N: break for i in range(j+1,len(Primes)): C[Primes[i]-Primes[j]]-=1 #print(Primes[j],C,ANS) for i in range(j): x=Primes[i]+Primes[j] #print(x,C[x]) ANS+=C[x] print(ANS)